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Antichains of monomial ideals are finite

By Diane Maclagan

Abstract

The main result of this paper is that all antichains are finite in\ud the poset of monomial ideals in a polynomial ring, ordered by inclusion. We\ud present several corollaries of this result, both simpler proofs of results already\ud in the literature and new results. One natural generalization to more abstract\ud posets is shown to be false

Topics: QA
Publisher: American Mathematical Society
Year: 2001
OAI identifier: oai:wrap.warwick.ac.uk:4294
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    Citations

    1. (1981). Complete ordered sets with no in antichains. doi
    2. (1996). Gr obner Bases and Convex Polytopes. doi
    3. Problems on Minkowski sums of convex lattice polytopes.
    4. (1999). SAGBI and SAGBI-Gr obner bases over principal ideal domains. doi
    5. (1988). Standard bases and geometric invariant theory. I. Initial ideals and state polytopes. doi
    6. (1988). The Gr obner fan of an ideal. doi

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